Information on Result #622080
Linear OA(751, 57, F7, 41) (dual of [57, 6, 42]-code), using code C0 for u = 3 by de Boer and Brouwer
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(752, 58, F7, 41) (dual of [58, 6, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(7108, 114, F7, 83) (dual of [114, 6, 84]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(7107, 112, F7, 83) (dual of [112, 5, 84]-code) | [i] | ||
| 4 | Linear OA(776, 81, F7, 58) (dual of [81, 5, 59]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(777, 82, F7, 59) (dual of [82, 5, 60]-code) | [i] | ||
| 6 | Linear OA(755, 61, F7, 43) (dual of [61, 6, 44]-code) | [i] | ✔ | Construction X with De Boer–Brouwer Codes |
| 7 | Linear OA(760, 65, F7, 48) (dual of [65, 5, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(761, 67, F7, 48) (dual of [67, 6, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(759, 65, F7, 47) (dual of [65, 6, 48]-code) | [i] | ✔ | |
| 10 | Linear OOA(751, 28, F7, 2, 41) (dual of [(28, 2), 5, 42]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(751, 19, F7, 3, 41) (dual of [(19, 3), 6, 42]-NRT-code) | [i] | ||